14122800 has 90 divisors (see below), whose sum is σ = 49022532. Its totient is φ = 3765120.

The previous prime is 14122793. The next prime is 14122847. The reversal of 14122800 is 822141.

It is a tau number, because it is divible by the number of its divisors (90).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1639 + ... + 5561.

Almost surely, 2^14122800 is an apocalyptic number.

14122800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14122800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24511266).

14122800 is an abundant number, since it is smaller than the sum of its proper divisors (34899732).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

14122800 is a wasteful number, since it uses less digits than its factorization.

14122800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3947 (or 3933 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 14122800 is about 3758.0313995495. The cubic root of 14122800 is about 241.7168557407.

Adding to 14122800 its reverse (822141), we get a palindrome (14944941).

The spelling of 14122800 in words is "fourteen million, one hundred twenty-two thousand, eight hundred".